Applied Mathematics
Overview
The Applied Mathematics Area of Concentration (AOC) at New College is designed to provide students with a strong foundation in mathematical concepts and the modeling skills needed to apply mathematics to solve real-world problems. The program develops students' analytical and computational math skills and technical abilities through a combination of coursework and hands-on experiences. While this dynamic and fast-growing field once had a heavy emphasis on physics, today at New College and around the world it uses advanced mathematical methods to seek answers to complex problems in the biological and health sciences, physical sciences, engineering, and industry. Many New College students pursue the Applied Mathematics AOC on its own, while others combine the AOC with studies in Biology, Physics, Economics, or other concentrations.
(See also Mathematics)
Faculty in Applied Mathematics
Christopher Kottke, Associate Professor of Mathematics
Patrick McDonald, Professor of Mathematics
Eirini Poimenidou, Professor of Mathematics (On Leave)
Necmettin Yildirim, Professor of Mathematics/Soo Bong Chae Chair of Applied Mathematics
Requirements for the AOC in Applied Mathematics
A minimum of fourteen and one-half (14.5) academic units.
| Code | Title |
|---|---|
| Core Requirements 1 | |
| Calculus I | |
or MATH 3472 | Calculus with Theory I |
| Calculus II* | |
or MATH 3473 | Calculus with Theory II |
| Calculus III | |
| Linear Algebra | |
or MATH 4015 | Advanced Linear Algebra |
| Ordinary Differential Equations | |
| Probability I and Probability II 2 | |
| Programming Course | |
| Select one from the following examples: | |
| Introduction to Programming in Python | |
| Object-Oriented Programming | |
| Functional Programming in Haskell* | |
| Additional Requirements | |
| Dealing with Data I* | |
or STAN 2800 | Dealing with Data II |
| Mathematical Modeling | |
| Introduction to Numerical Methods | |
| Mathematics Seminar (Three Semesters) 3 | |
| Electives | |
| Select two from the following examples: | |
| Advanced Linear Algebra (If not also used for Linear Algebra requirement) | |
| Partial Differential Equations | |
| Complex Analysis | |
| Introduction to Number Theory with Applications to Cryptography | |
| Graph Theory* | |
| Applied Linear Models | |
| Real Analysis I* | |
| Real Analysis II | |
| Abstract Algebra I | |
| Abstract Algebra II | |
| Point-Set Topology | |
| Basic Set Theory* | |
| Advanced Topics: Applied Math | |
| Advanced Topics: Analysis | |
| Advanced Topics: Algebra | |
| Advanced Topics: Probability | |
| Advanced Topics: Geometry/Topology | |
| Additional Requirements | |
| One Independent Study Project (ISP) in Applied Mathematics | |
| Senior Thesis in Applied Mathematics and Baccalaureate Exam | |
- 1
Some requirements can be met with appropriate AP, IB, or transfer credit.
- 2
These are each one-mod courses; together they count as one academic unit.
- 3
To receive mod course credit (.5 unit) for the Mathematics Seminar, students must prepare and present a talk at one of the seminar sessions. One of the most important roles of the Mathematics Seminar, in addition to honing students' communication skills, has been to build a sense of community in the program.
Requirements for a Secondary Field in Applied Mathematics
A minimum of six and one-half (6.5) academic units.
| Code | Title |
|---|---|
| Core Requirements 1 | |
| Calculus I | |
or MATH 3472 | Calculus with Theory I |
| Calculus II* | |
or MATH 3473 | Calculus with Theory II |
| Linear Algebra | |
| Ordinary Differential Equations | |
| Probability I and Probability II 2 | |
| Mathematical Modeling | |
or MATH 4410 | Introduction to Numerical Methods |
| Additional Applied Math Requirement | |
| Mathematics Seminar (One Semester) 3 | |
| Optional | |
| A programming course is highly recommended. | |
- 1
Some requirements can be met with appropriate AP, IB, or transfer credit.
- 2
These are each one-mod courses; together they count as one academic unit.
- 3
To receive mod course credit (.5 unit) for the Mathematics Seminar, students must prepare and present a talk at one of the seminar sessions. One of the most important roles of the Mathematics Seminar, in addition to honing students' communication skills, has been to build a sense of community in the program.
Representative Senior Theses in Applied Mathematics
- Delay Differential Equation Model for G-Protein Pathway Dynamics
- Mathematical Modeling of Protein Synthesis with Autoregulation
- Mathematical Modeling of MAPK Dynamics and Signal Adaptation
- A Systems Biology Approach to Study Differential Regulation of MAPK Dynamics
- Mathematical Modeling and Optimal Experimental Design in Systems Biology
- Mathematical Modeling of Pacific Pink Salmon (Oncorhynchus Gorbuscha) Dynamics
- Fluctuations of Beta Rhythm: Mathematical Modeling and Periodic Forcing of a Cortical Microcircuit
- Mathematical Model Relating Soil Organic Matter Decomposition to Microbial Community Dynamics